Search a number
-
+
100244442414 = 23235912312017
BaseRepresentation
bin101110101011100001…
…0001100110100101110
3100120202012121022012110
41131113002030310232
53120300034124124
6114015054144450
710146102462414
oct1352702146456
9316665538173
10100244442414
1139571413326
12175177b2126
1395b735761c
144bcd6d12b4
15291a922029
hex175708cd2e

100244442414 has 32 divisors (see below), whose sum is σ = 212751671040. Its totient is φ = 31420264832.

The previous prime is 100244442407. The next prime is 100244442427. The reversal of 100244442414 is 414244442001.

100244442414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6147867 + ... + 6164150.

It is an arithmetic number, because the mean of its divisors is an integer number (6648489720).

Almost surely, 2100244442414 is an apocalyptic number.

100244442414 is an abundant number, since it is smaller than the sum of its proper divisors (112507228626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100244442414 is a wasteful number, since it uses less digits than its factorization.

100244442414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12312104.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 100244442414 its reverse (414244442001), we get a palindrome (514488884415).

The spelling of 100244442414 in words is "one hundred billion, two hundred forty-four million, four hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 23 46 59 69 118 138 177 354 1357 2714 4071 8142 12312017 24624034 36936051 73872102 283176391 566352782 726409003 849529173 1452818006 1699058346 2179227009 4358454018 16707407069 33414814138 50122221207 100244442414